Asked by mav welborn
(1 point)
Which fraction makes the statement TRUE?
210<____<711
Which fraction makes the statement TRUE?
210<____<711
Answers
Answered by
GPT-4o mini
To find a fraction that makes the statement \( 210 < \_\_ < 711 \) true, we need to choose a fraction that lies between the two numbers 210 and 711.
A simple option would be to find a number or fraction halfway between 210 and 711. The midpoint can be calculated as follows:
\[
\text{Midpoint} = \frac{210 + 711}{2} = \frac{921}{2} = 460.5
\]
So, one fraction that falls between 210 and 711 is \( \frac{921}{2} \), but we can use simpler fractions as well, like \( \frac{400}{1} \) (which equals 400) or \( \frac{500}{1} \) (which equals 500).
Any fraction like \( \frac{400}{1} \) or \( \frac{500}{1} \) would satisfy the condition:
\[
210 < 400 < 711 \quad \text{or} \quad 210 < 500 < 711
\]
Therefore, \( \frac{400}{1} \) or \( \frac{500}{1} \) can be used as the answer. If you want a fraction in the form of \( \frac{a}{b} \), you could use \( \frac{400}{1} \) or simply pick any fraction with a numerator and denominator that results in a value between the two limits. For example:
\[
\text{Answer: } \frac{400}{1} \quad \text{(or any valid fraction)}
\]
A simple option would be to find a number or fraction halfway between 210 and 711. The midpoint can be calculated as follows:
\[
\text{Midpoint} = \frac{210 + 711}{2} = \frac{921}{2} = 460.5
\]
So, one fraction that falls between 210 and 711 is \( \frac{921}{2} \), but we can use simpler fractions as well, like \( \frac{400}{1} \) (which equals 400) or \( \frac{500}{1} \) (which equals 500).
Any fraction like \( \frac{400}{1} \) or \( \frac{500}{1} \) would satisfy the condition:
\[
210 < 400 < 711 \quad \text{or} \quad 210 < 500 < 711
\]
Therefore, \( \frac{400}{1} \) or \( \frac{500}{1} \) can be used as the answer. If you want a fraction in the form of \( \frac{a}{b} \), you could use \( \frac{400}{1} \) or simply pick any fraction with a numerator and denominator that results in a value between the two limits. For example:
\[
\text{Answer: } \frac{400}{1} \quad \text{(or any valid fraction)}
\]
Answered by
mav welborn
9/9, 12/13, 6/13, OR 1/10
Answered by
GPT-4o mini
To determine which of the given fractions falls within the range \(210 < \_\_ < 711\), we need to evaluate each fraction by converting them into decimal form.
1. **\( \frac{9}{9} = 1\)**
- \(210 < 1 < 711\) is **false**.
2. **\( \frac{12}{13} \approx 0.923\)**
- \(210 < 0.923 < 711\) is **false**.
3. **\( \frac{6}{13} \approx 0.462\)**
- \(210 < 0.462 < 711\) is **false**.
4. **\( \frac{1}{10} = 0.1\)**
- \(210 < 0.1 < 711\) is **false**.
None of the fractions \( \frac{9}{9}, \frac{12}{13}, \frac{6}{13}, \frac{1}{10} \) satisfy the condition \(210 < \_\_ < 711\).
To find a fraction that does meet the criteria, consider fractions larger than 210 but smaller than 711. Examples include:
- \( \frac{211}{1} = 211\)
- \( \frac{500}{1} = 500\)
In this case, **none of the provided fractions are correct** for the statement \( 210 < \_\_ < 711 \).
1. **\( \frac{9}{9} = 1\)**
- \(210 < 1 < 711\) is **false**.
2. **\( \frac{12}{13} \approx 0.923\)**
- \(210 < 0.923 < 711\) is **false**.
3. **\( \frac{6}{13} \approx 0.462\)**
- \(210 < 0.462 < 711\) is **false**.
4. **\( \frac{1}{10} = 0.1\)**
- \(210 < 0.1 < 711\) is **false**.
None of the fractions \( \frac{9}{9}, \frac{12}{13}, \frac{6}{13}, \frac{1}{10} \) satisfy the condition \(210 < \_\_ < 711\).
To find a fraction that does meet the criteria, consider fractions larger than 210 but smaller than 711. Examples include:
- \( \frac{211}{1} = 211\)
- \( \frac{500}{1} = 500\)
In this case, **none of the provided fractions are correct** for the statement \( 210 < \_\_ < 711 \).
Answered by
mav welborn
IDC IDC IDC WHATS THE ANSWER
Answered by
GPT-4o mini
I apologize for any confusion. The answer to your original question asking which of the provided fractions makes the statement \(210 < \_\_ < 711\) true is:
**None of the fractions you listed (9/9, 12/13, 6/13, or 1/10) are valid answers because they all fall outside the range of 210 to 711.**
If you need any more help or a different type of question, feel free to ask!
**None of the fractions you listed (9/9, 12/13, 6/13, or 1/10) are valid answers because they all fall outside the range of 210 to 711.**
If you need any more help or a different type of question, feel free to ask!
Answered by
mav welborn
WHAT ANSWER IS THE CLOSES
Answered by
GPT-4o mini
Let's evaluate the fractions you provided and see which one is closest to being within the range \(210 < x < 711\):
1. **\( \frac{9}{9} = 1\)**
- Not within the range.
2. **\( \frac{12}{13} \approx 0.923\)**
- Not within the range.
3. **\( \frac{6}{13} \approx 0.462\)**
- Not within the range.
4. **\( \frac{1}{10} = 0.1\)**
- Not within the range.
To find out which one is "closest" to the lower bound of 210, we can compare their decimal values:
- \(1\) (from \( \frac{9}{9} \))
- \(0.923\) (from \( \frac{12}{13} \))
- \(0.462\) (from \( \frac{6}{13} \))
- \(0.1\) (from \( \frac{1}{10} \))
Among these, \(1\) (which is \( \frac{9}{9} \)) is the highest and, thus, the closest to 210.
So, the closest option to the range \(210 < x < 711\) is:
**\( \frac{9}{9} = 1 \)**.
Thank you for your patience!
1. **\( \frac{9}{9} = 1\)**
- Not within the range.
2. **\( \frac{12}{13} \approx 0.923\)**
- Not within the range.
3. **\( \frac{6}{13} \approx 0.462\)**
- Not within the range.
4. **\( \frac{1}{10} = 0.1\)**
- Not within the range.
To find out which one is "closest" to the lower bound of 210, we can compare their decimal values:
- \(1\) (from \( \frac{9}{9} \))
- \(0.923\) (from \( \frac{12}{13} \))
- \(0.462\) (from \( \frac{6}{13} \))
- \(0.1\) (from \( \frac{1}{10} \))
Among these, \(1\) (which is \( \frac{9}{9} \)) is the highest and, thus, the closest to 210.
So, the closest option to the range \(210 < x < 711\) is:
**\( \frac{9}{9} = 1 \)**.
Thank you for your patience!